Pith Number

pith:KDZ4Z7OT

pith:2018:KDZ4Z7OTXSGKQYZSFIEUNE5L3P

not attested not anchored not stored refs pending

Graphical Convergence of Subgradients in Nonconvex Optimization and Learning

Damek Davis, Dmitriy Drusvyatskiy

arxiv:1810.07590 v2 · 2018-10-17 · math.OC · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDZ4Z7OTXSGKQYZSFIEUNE5L3P}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:58:08.389570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f3ccfdd3bc8ca863322a094693abdbd71fc37db1f4188d8bf07447ba397ad1

Aliases

arxiv: 1810.07590 · arxiv_version: 1810.07590v2 · doi: 10.48550/arxiv.1810.07590 · pith_short_12: KDZ4Z7OTXSGK · pith_short_16: KDZ4Z7OTXSGKQYZS · pith_short_8: KDZ4Z7OT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KDZ4Z7OTXSGKQYZSFIEUNE5L3P \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 50f3ccfdd3bc8ca863322a094693abdbd71fc37db1f4188d8bf07447ba397ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41086a4e2be95729bff7fd242f8e5507c40491627511d8cd34ce3536efdae1df",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-17T14:50:07Z",
    "title_canon_sha256": "76530f538324166aed50c5fe4e8211f6ead0eff25de3d1b08e0a835aef3e30c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07590",
    "kind": "arxiv",
    "version": 2
  }
}